Numerical Algorithms for Computing Eigenvalues of Discontinuous Dirac System Using Sinc-Gaussian Method

Table 1

The absolute errors of sinc-Gaussian and the classical sinc-method with 𝑁=20, ℎ=0.2, 𝜔=1.3708.

𝜆𝑘	Sinc	Exact 𝜆𝑘	Sinc-Gaussian 𝜆𝑘,𝑁	𝐸	𝐸𝐺
𝜆−2	−3.5582594249860	−3.55825932025645	−3.5582593202564	1.04×10^−7	2.75×10^−14
𝜆−1	−1.98746291522753	−1.98746299346156	−1.98746299346155	7.82×10^−8	3.77×10^−15
𝜆0	−0.41666654116886	−0.41666666666666	−0.41666666666666	1.25×10^−7	1.83×10^−15
𝜆1	1.15412963731329	1.15412966012822	1.15412966012823	2.28×10^−8	9.77×10^−15
𝜆2	2.72492581024868	2.72492598692312	2.72492598692315	1.76×10^−7	3.28×10^−14